450959712 has 192 divisors, whose sum is σ = 1428295680. Its totient is φ = 121803264.

The previous prime is 450959687. The next prime is 450959713. The reversal of 450959712 is 217959054.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450959713) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2519239 + ... + 2519417.

It is an arithmetic number, because the mean of its divisors is an integer number (7439040).

Almost surely, 2^450959712 is an apocalyptic number.

450959712 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450959712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714147840).

450959712 is an abundant number, since it is smaller than the sum of its proper divisors (977335968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

450959712 is a wasteful number, since it uses less digits than its factorization.

450959712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 42.

The square root of 450959712 is about 21235.8120164970. The cubic root of 450959712 is about 766.8538132502.

The spelling of 450959712 in words is "four hundred fifty million, nine hundred fifty-nine thousand, seven hundred twelve".